I can heavily relate to this with one of my early projects, Jellibug. It aggregated celebrity pictures from Instagram, Twitter, etc and at one point had 1M+ pictures and 250k+ visitors/month. Except it didn't make money and became a "piece of shit startup I hate to love". I stopped working on it about a year ago and finally shut it down last month. Almost all traffic to it was organic, just like Twicsy. And it was mostly teenagers using the site which is a very hard audience to monetize. I couldn't see it as a business anymore so why bother wasting time even thinking about it? Sometimes things fall apart so that better things can fall together. Since then, I've stopped chasing the sexy and cool ideas with no business plan. Today, I run 2 unsexy and boring startups that make money. My advice would be to ditch Twicsy and instead find a problem and solve it.
Also, a sneaky, probably short-term idea for making money is to have sneaky affiliate links with misleading anchor text like "Click to see the image", and point the affiliate link to an Amazon product page or something. Probably an easy few thousand dollars per month.
